|
%I #3 Oct 03 2013 09:33:12
%S 1,3003,2147145,614083470,90474964580,7997986868872,469699956117392,
%T 19702998159210080,623055648083552320,15480536486999030720,
%U 312230512837780450368,5247874388850386800416
%N Number of 6 X 8 matrices with elements in 0..n with each row and each column in nondecreasing order. 6,8,n can be permuted, see formula.
%F (empirical) set p,q,r to n,8,6 (in any order) in s=p+q+r-1; a(n) = product {i in 0..r-1} (binomial(s,p+i)*i!/(s-i)^(r-i-1))
%K nonn
%O 0,2
%A _R. H. Hardin_, Jul 05 2008
|
